Answer:

Step-by-step explanation:
The slope of the line joining the 2 points is a measure of the average rate of change.
Calculate slope m using the slope formula
m = 
with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (- 3, - 2)
m =
=
=
← average rate of change
x={1+i√19 , 1-i√19}
solve this by using quadratic formula
Given:
CDEF is dilated by a scale factor of
to form the quadrilateral C'D'E'F'.
To find:
The measure of side E'F'.
Solution:
If a figure is dilated by a scale factor of k, then the side of dilated figure is k times of corresponding side of original figure.
CDEF is dilated by a scale factor of
to form the quadrilateral C'D'E'F'. So,

From the given figure it is clear that
. So,


Therefore, the measure of side E'F' is 9 units.
Answer:
-10
Step-by-step explanation:
right on edge 2022
Scale:
1 cm : 6 inches
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Length of the aquarium:
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5 feet = 5 x 12 = 60 inches
60 ÷ 6 = 10
The length will be 10 cm on the scale drawing.
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Width of the aquarium:
---------------------------------
2 feet = 2 x 12 = 24 inches
24 ÷ 6 = 4
The width will be 4 cm on the scale drawing.
---------------------------------
Find Perimeter:
---------------------------------
Perimeter = 2 (length + width)
Perimeter = 2( 10 + 4 )
Perimeter = 28 cm
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Answer: The perimeter of the scale drawing of the front face is 28 cm.--------------------------------------------------------------------------------------------------